What is the answer to (|x+2|)/(|x-3|)=4 ?

The answer to (|x+2|)/(|x-3|)=4 is x=2,x= 14/3

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(|x+2|)/(|x-3|)=4

\frac{∣ x + 2 ∣}{∣ x - 3 ∣} = 4

x = 2, x = \frac{14}{3}

Decimal Notation

x = 2, x = 4.66666 \dots

Solution steps

\frac{∣ x + 2 ∣}{∣ x - 3 ∣} = 4

Multiply both sides by

∣ x - 3 ∣

∣ x + 2 ∣ = 4 ∣ x - 3 ∣

Solve

∣ x + 2 ∣ = 4 ∣ x - 3 ∣ : x = 2 or x = \frac{14}{3}

x = 2, x = \frac{14}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 2, x = \frac{14}{3}

2 (\frac{x ^{2} + 1}{x ^{2}}) - 3 (\frac{x + 1}{x}) - 1 = 0

\frac{( a ^{3} + 3 a )}{( 3 a ^{2} + 1 )} = \frac{14}{13}

\frac{a ^{- 1}}{2} = 3

90 = \frac{120 e ^{- 0} 0.01}{t}

\frac{1}{2 x ( \frac{3}{4} + x )} = - \frac{7}{10}

What is the answer to (|x+2|)/(|x-3|)=4 ?
The answer to (|x+2|)/(|x-3|)=4 is x=2,x= 14/3
Solve for x: (|x+2|)/(|x-3|)=4
The solution is x=2,x= 14/3